Mathematics 1 Deneme Sınavı Sorusu #1229090

Which of the following is the value of limx›7 [(x-2x - 35) / (x - 7)]



6

7

12

24

42


Yanıt Açıklaması:

The function is a rational function. Because the limits of the numerator and the denominator are equal to 0, we need to factorise the ratio which follows as

[(x-2x - 35) / (x - 7)] = [(x - 7) (x + 5)] / x-7 = x + 5. 

Following the limit rules, we find limx›7 x + 5 = 7 + 5 = 12.

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